The generator matrix 1 0 0 0 0 0 0 1 1 1 2 1 1 1 2 1 1 1 1 1 1 1 1 2 2 0 0 2 1 0 0 0 1 0 1 1 1 2 2 0 1 1 0 1 1 1 2 1 2 2 0 1 1 2 1 1 1 1 1 1 0 2 1 2 1 1 1 0 1 0 1 2 1 2 0 2 0 2 1 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 2 2 2 0 2 2 0 2 1 1 1 1 3 1 1 1 1 3 1 1 1 1 1 0 2 1 0 1 2 0 1 1 2 2 0 0 3 0 1 3 1 3 3 2 2 1 1 0 1 3 0 1 1 1 0 1 2 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 3 2 2 1 3 3 2 1 2 1 1 1 0 1 1 2 0 0 3 3 2 3 1 2 3 3 3 2 1 0 0 3 3 2 0 0 2 0 1 3 2 0 1 1 0 0 1 0 2 1 1 1 0 2 3 3 3 0 1 0 1 2 1 1 0 2 0 0 0 0 1 0 0 0 0 0 0 0 1 0 1 3 1 2 3 1 3 0 0 3 3 1 1 2 2 3 0 1 0 3 1 3 2 3 2 3 0 1 0 3 2 1 0 1 2 2 2 0 1 3 1 0 1 3 3 2 1 0 3 0 3 2 2 0 1 2 2 1 2 1 2 3 0 2 1 2 1 1 3 1 0 0 0 0 1 0 0 0 1 1 1 2 2 0 2 3 1 3 2 0 2 1 1 2 0 3 1 3 1 2 1 0 0 3 1 0 1 0 1 3 0 1 2 0 3 3 1 2 3 0 3 0 2 1 0 3 1 1 1 2 1 2 2 2 0 3 2 3 1 3 3 3 1 1 1 2 2 0 3 0 2 1 3 0 0 0 0 0 1 0 1 0 1 3 2 2 1 1 3 0 2 1 2 1 3 1 0 1 1 2 1 2 3 0 0 3 0 2 1 3 2 2 1 3 1 0 2 3 3 3 2 3 1 3 2 1 2 0 3 3 2 0 0 1 1 1 0 3 0 3 0 0 3 1 0 1 0 0 3 1 3 3 3 0 3 3 0 0 0 0 0 0 1 1 3 2 1 1 3 3 0 0 0 2 2 0 2 1 1 3 1 1 1 0 2 3 2 1 3 2 0 3 2 1 3 2 0 0 2 1 0 3 3 0 0 1 1 0 3 1 1 3 2 3 1 2 0 3 0 0 3 1 3 1 1 1 2 1 3 1 2 3 0 0 2 3 0 0 2 0 0 0 0 0 0 0 2 2 0 2 2 2 2 0 0 0 0 0 0 0 2 2 2 2 2 2 0 0 2 0 2 2 0 0 2 0 2 2 0 0 0 0 2 2 0 0 2 2 0 0 2 0 0 0 0 2 0 0 2 2 0 2 2 0 0 0 0 0 0 2 2 0 0 0 2 0 2 2 0 0 2 2 generates a code of length 83 over Z4 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+135x^68+196x^69+312x^70+446x^71+607x^72+730x^73+908x^74+1064x^75+1231x^76+1390x^77+1450x^78+1516x^79+1694x^80+1924x^81+1879x^82+1890x^83+1834x^84+1760x^85+1686x^86+1720x^87+1479x^88+1358x^89+1280x^90+1152x^91+883x^92+618x^93+530x^94+344x^95+272x^96+196x^97+131x^98+54x^99+53x^100+20x^101+14x^102+6x^103+2x^104+2x^106+1x^144 The gray image is a code over GF(2) with n=166, k=15 and d=68. This code was found by Heurico 1.10 in 159 seconds.